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Transaction Costs and Market Institutions: Grain Brokers in Ethiopia

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9<br />

trader’s social capital <strong>and</strong> acts as a positive shifter <strong>in</strong> the trader’s revenue<br />

function. The trader’s revenue maximization is expressed by<br />

(1) = γ L α K β e ε - ωL - νK<br />

where γ is social capital, ω is the opportunity cost of search labor (L), <strong>and</strong> ν is<br />

the opportunity cost of work<strong>in</strong>g capital (K). From the first-order conditions for<br />

profit maximization, the shadow opportunity costs of search labor ω *<br />

<strong>and</strong> of<br />

work<strong>in</strong>g capital ν * are derived as<br />

α<br />

(2) ω<br />

* = R L<br />

β<br />

(3) ν<br />

* = R K<br />

Ord<strong>in</strong>ary least squares estimation of the trader’s revenue function would result <strong>in</strong><br />

asymptotically biased estimators because of the simultaneity bias that exists<br />

because both search labor <strong>and</strong> work<strong>in</strong>g capital depend on revenue <strong>and</strong> thus will<br />

not be <strong>in</strong>dependent of the model’s error term. 5<br />

To overcome this bias, two-stage<br />

least squares estimation is used to obta<strong>in</strong> the coefficients necessary for deriv<strong>in</strong>g<br />

ω* <strong>and</strong> ν*. A rich set of <strong>in</strong>struments for search labor <strong>and</strong> work<strong>in</strong>g capital are<br />

5<br />

This issue generally plagues the estimation of production functions, to which a solution is to<br />

apply duality theory, a solution which fails to use all available <strong>in</strong>formation <strong>and</strong> is statistically<br />

<strong>in</strong>efficient (Mundlak, 1996). In this case, the existence of a rich set of <strong>in</strong>struments provides a<br />

more conv<strong>in</strong>c<strong>in</strong>g <strong>in</strong>strumental variables estimator.

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